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Finding the Fourth Proportional to 9,730.33, 14,611.89 and 9,653.78

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Solution

The fourth proportional to 9,730.33, 14,611.89 and 9,653.78 is: 14,496.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,730.33 : 14,611.89 = 9,653.78 : x
  2. Step 2: Convert to fraction form
    9,730.33/14,611.89 = 9,653.78/x
  3. Step 3: Cross multiply
    9,730.33x = 14,611.89 × 9,653.78
  4. Step 4: Simplify right side
    9,730.33x = 141,060,044.18
  5. Step 5: Solve for x
    x = 141,060,044.18/9,730.33
  6. Step 6: Final answer
    x = 14,496.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.